Cremona's table of elliptic curves

14700 = 2² · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	14700j	Isogeny class
Conductor	14700	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	138240	Modular degree for the optimal curve
Δ	1250755931250000 = 24 · 35 · 58 · 77	Discriminant
Eigenvalues	2- 3+ 5+ 7- -2  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-692533,-221586938]	[a1,a2,a3,a4,a6]
Generators	[1097:18375:1]	Generators of the group modulo torsion
j	1248870793216/42525	j-invariant
L	4.0805953987203	L(r)(E,1)/r!
Ω	0.16549705558778	Real period
R	2.0547170180901	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58800ig1 44100bp1 2940i1 2100k1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14700j1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	-	-2	4	2	-2	-4	6	2	-10	10	-12	-8	0	8	2	12	-10	4	0	-12	-2	-8

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Quadratic twists for elliptic curve 14700j1

-4	-3	5	-7
58800ig1	44100bp1	2940i1	2100k1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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